000015126 001__ 15126
000015126 005__ 20161115100212.0
000015126 04107 $$aeng
000015126 046__ $$k2016-08-21
000015126 100__ $$aPerez Rafols, Francesc
000015126 24500 $$aAn LCP based approach for the contact mechanics of elastic half spaces

000015126 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015126 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015126 506__ $$arestricted
000015126 520__ $$2eng$$aThe Contact Mechanics (CM) problem can be considered a complementarity problem. If assuming linearly elasticity of the contacting bodies, the discretised system of equations as a Linear Complementarity Problem (LCP). The contact mechanics model is first formulated in continuous form by posing a complementarity relation between the gap of the deformed surfaces and the contact pressure. The LCP is then obtained after a linearisation and discretisation of the equations. An advantage of posing the CM problem as a strict LCP formulation, is that this allows for the application of well-established numerical solution techniques, such as Lemke’s pivoting algorithm. In addition, Lemke’s pivoting algorithm has the advantage that it finds the numerically exact solution, within a finite number of iterations. This type of LCP based contact mechanics approach is applied here to solve the Hertzian line contact problem, with and without the addition of surface roughness, to demonstrate it’s applicability.

000015126 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015126 653__ $$a

000015126 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015126 720__ $$aPerez Rafols, Francesc
000015126 8560_ $$ffischerc@itam.cas.cz
000015126 8564_ $$s153992$$uhttps://invenio.itam.cas.cz/record/15126/files/TS.SM02-3.05.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1784, code TS.SM02-3.05
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000015126 962__ $$r13812
000015126 980__ $$aPAPER